Bullhorns, by design, give a somewhat low, very forward, "aero" position. From lowest to highest, it goes something like:

- Track or "pista" drop bars
- Classic curve road drops
- Compact road drops
- Pursuit bars
- Bullhorns
- Flat bars
- Riser bars
- BMX bars (as someone suggested above)

So if you like to sit upright, bullhorns really aren't what you want.

Stem length also affects your position, with shorter stems putting you more upright... and they do this without changing the main triangle dimensions.

It is silly to select a frame based on a top tube length that will prevent toe overlap. So many other factors contribute! Use the fit calculator linked above and choose "French fit" in the pulldown options at the end (as opposed to Eddy or Competitive). This will get you in the right ball park.

Next, read what bike manufacturers say about their frames, like "true track geometry" or "somewhat relaxed" or "comfortable design for commuting and fitness riding." Something along the lines of the latter two will likely have clearance for your toes, and yes, even SS/FG frames are available all along this spectrum.

Finally, set up your bike with a steep riser stem and/or riser bars. Voila! You have the comfortable position you're after, no toe overlap, and no goofy frame measurements to make your bike uncomfortable or inefficient in other areas.

Also, this might sound crazy, but you could try going to a local bike shop and sitting on some bikes in person. They might even let you take a test ride. Then you'll know for sure what works for you, as opposed to a what a bunch of internet strangers tell you might work.